376786080 has 288 divisors, whose sum is σ = 1456273728. Its totient is φ = 91238400.

The previous prime is 376786037. The next prime is 376786103. The reversal of 376786080 is 80687673.

376786080 is a `hidden beast` number, since 37 + 6 + 7 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427240 + ... + 428120.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2^376786080 is an apocalyptic number.

376786080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728136864).

376786080 is an abundant number, since it is smaller than the sum of its proper divisors (1079487648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

376786080 is a wasteful number, since it uses less digits than its factorization.

376786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 376786080 is about 19410.9783370133. The cubic root of 376786080 is about 722.2678492498.

The spelling of 376786080 in words is "three hundred seventy-six million, seven hundred eighty-six thousand, eighty".